Nonuniform sampling for spectral and related applications

Optics: measuring and testing – By particle light scattering – With photocell detection

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356345, G01B 902

Patent

active

060056649

ABSTRACT:
A method for deriving a spectrum of a substance in such a manner as to enhance a specified characteristic of the spectrum. Irregular intervals are chosen in the signal domain for sampling the signal. The irregular intervals may be randomly spaced. The signal is sampled at the irregular intervals and transformed into the transform domain through application of a transform algorithm, such as a fast orthogonal search, capable of accommodating an irregularly sampled signal. Interferometric spectrometers having parallel optical paths with irregularly spaced phase delays are provided for the practice of the claimed method.

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patent: 5541728 (1996-07-01), Dierking
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Korenberg, "A Robust Orthogonal Algorithm for System Identification and Time-Series Analysis", Biological Cybernetics, vol. 60, pp. 267-276, 1989.
Korenberg, "Raman Spectral Estimation via Fast Orthogonal Search", Analyst, vol. 122, pp. 879-882. Sep. 1997.
Brenan et al., "Volumetric Raman Spectral Imaging with a Confocal Raman Microscope: Image Modalities and Applications", Reprinted from Three-Dimensional Microscopy: Image Acquistion and Processing III, SPIE, Jan. 30-Feb. 1, 1996.
Marvasti, "Nonuniform Sampling", Advanced Topics in Shannon Sampling and Interpolation Theory, 1993.
Korenberg et al., "Orthogonal Approaches to Time-Series Analysis and System Identification", IEEE, Jul. 1991.

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